This book presents a series of challenging mathematical problems which arise in the modeling of
Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical
modeling of a variety of contemporary problems and provides some results. The flow properties
of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological
fluids (blood for instance) exhibit a non-Newtonian behavior as do many naturally occurring
or technologically relevant fluids such as molten polymers oil mud lava salt solutions
paint and so on. The term complex flows usually refers to those fluids presenting an internal
structure (fluid mixtures solutions multiphase flows and so on). Modern research on complex
flows has increased considerably in recent years due to the many biological and industrial
applications.
